TSTP Solution File: ALG211+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : ALG211+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 17:21:59 EDT 2022
% Result : Theorem 0.22s 1.35s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ALG211+1 : TPTP v8.1.0. Released v3.1.0.
% 0.00/0.09 % Command : leancop_casc.sh %s %d
% 0.09/0.29 % Computer : n025.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Wed Jun 8 06:44:19 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.22/1.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/1.35 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/1.36
% 0.22/1.36 %-----------------------------------------------------
% 0.22/1.36 fof(bg_2_4_3, conjecture, ! [_16718, _16721] : (a_vector_subspace_of(_16718, _16721) & a_vector_space(_16721) => ? [_16746, _16749] : (basis_of(union(_16746, _16749), _16721) & basis_of(_16746, _16718))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', bg_2_4_3)).
% 0.22/1.36 fof(basis_of, axiom, ! [_16992, _16995] : (basis_of(_16992, _16995) => lin_ind_subset(_16992, _16995) & a_subset_of(_16992, vec_to_class(_16995))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', basis_of)).
% 0.22/1.36 fof(bg_2_2_5, axiom, ! [_17188, _17191, _17194] : (lin_ind_subset(_17188, _17194) & basis_of(_17191, _17194) => ? [_17222] : (a_subset_of(_17222, _17191) & basis_of(union(_17188, _17222), _17194))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', bg_2_2_5)).
% 0.22/1.36 fof(bg_remark_63_a, axiom, ! [_17447] : (a_vector_space(_17447) => ? [_17462] : basis_of(_17462, _17447)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', bg_remark_63_a)).
% 0.22/1.36 fof(bg_2_4_a, axiom, ! [_17605, _17608] : (a_vector_subspace_of(_17605, _17608) => a_vector_space(_17605)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', bg_2_4_a)).
% 0.22/1.36 fof(bg_2_4_2, axiom, ! [_17744, _17747, _17750] : (a_vector_subspace_of(_17744, _17747) & a_subset_of(_17750, vec_to_class(_17744)) => (lin_ind_subset(_17750, _17744) <=> lin_ind_subset(_17750, _17747))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', bg_2_4_2)).
% 0.22/1.36
% 0.22/1.36 cnf(1, plain, [-(a_vector_subspace_of(3 ^ [], 4 ^ []))], clausify(bg_2_4_3)).
% 0.22/1.36 cnf(2, plain, [-(a_vector_space(4 ^ []))], clausify(bg_2_4_3)).
% 0.22/1.36 cnf(3, plain, [basis_of(union(_7859, _7864), 4 ^ []), basis_of(_7859, 3 ^ [])], clausify(bg_2_4_3)).
% 0.22/1.36 cnf(4, plain, [basis_of(_4132, _4185), -(lin_ind_subset(_4132, _4185))], clausify(basis_of)).
% 0.22/1.36 cnf(5, plain, [basis_of(_4132, _4185), -(a_subset_of(_4132, vec_to_class(_4185)))], clausify(basis_of)).
% 0.22/1.36 cnf(6, plain, [-(basis_of(union(_4548, 1 ^ [_4687, _4618, _4548]), _4687)), lin_ind_subset(_4548, _4687), basis_of(_4618, _4687)], clausify(bg_2_2_5)).
% 0.22/1.36 cnf(7, plain, [a_vector_space(_5231), -(basis_of(2 ^ [_5231], _5231))], clausify(bg_remark_63_a)).
% 0.22/1.36 cnf(8, plain, [a_vector_subspace_of(_5514, _5558), -(a_vector_space(_5514))], clausify(bg_2_4_a)).
% 0.22/1.36 cnf(9, plain, [a_subset_of(_5918, vec_to_class(_5791)), a_vector_subspace_of(_5791, _5855), lin_ind_subset(_5918, _5791), -(lin_ind_subset(_5918, _5855))], clausify(bg_2_4_2)).
% 0.22/1.36
% 0.22/1.36 cnf('1',plain,[basis_of(union(2 ^ [3 ^ []], 1 ^ [4 ^ [], union(2 ^ [4 ^ []], 1 ^ [4 ^ [], union(2 ^ [4 ^ []], 1 ^ [4 ^ [], 2 ^ [4 ^ []], 2 ^ [4 ^ []]]), 2 ^ [4 ^ []]]), 2 ^ [3 ^ []]]), 4 ^ []), basis_of(2 ^ [3 ^ []], 3 ^ [])],start(3,bind([[_7864, _7859], [1 ^ [4 ^ [], union(2 ^ [4 ^ []], 1 ^ [4 ^ [], union(2 ^ [4 ^ []], 1 ^ [4 ^ [], 2 ^ [4 ^ []], 2 ^ [4 ^ []]]), 2 ^ [4 ^ []]]), 2 ^ [3 ^ []]], 2 ^ [3 ^ []]]]))).
% 0.22/1.36 cnf('1.1',plain,[-(basis_of(union(2 ^ [3 ^ []], 1 ^ [4 ^ [], union(2 ^ [4 ^ []], 1 ^ [4 ^ [], union(2 ^ [4 ^ []], 1 ^ [4 ^ [], 2 ^ [4 ^ []], 2 ^ [4 ^ []]]), 2 ^ [4 ^ []]]), 2 ^ [3 ^ []]]), 4 ^ [])), lin_ind_subset(2 ^ [3 ^ []], 4 ^ []), basis_of(union(2 ^ [4 ^ []], 1 ^ [4 ^ [], union(2 ^ [4 ^ []], 1 ^ [4 ^ [], 2 ^ [4 ^ []], 2 ^ [4 ^ []]]), 2 ^ [4 ^ []]]), 4 ^ [])],extension(6,bind([[_4548, _4618, _4687], [2 ^ [3 ^ []], union(2 ^ [4 ^ []], 1 ^ [4 ^ [], union(2 ^ [4 ^ []], 1 ^ [4 ^ [], 2 ^ [4 ^ []], 2 ^ [4 ^ []]]), 2 ^ [4 ^ []]]), 4 ^ []]]))).
% 0.22/1.36 cnf('1.1.1',plain,[-(lin_ind_subset(2 ^ [3 ^ []], 4 ^ [])), a_subset_of(2 ^ [3 ^ []], vec_to_class(3 ^ [])), a_vector_subspace_of(3 ^ [], 4 ^ []), lin_ind_subset(2 ^ [3 ^ []], 3 ^ [])],extension(9,bind([[_5855, _5918, _5791], [4 ^ [], 2 ^ [3 ^ []], 3 ^ []]]))).
% 0.22/1.36 cnf('1.1.1.1',plain,[-(a_subset_of(2 ^ [3 ^ []], vec_to_class(3 ^ []))), basis_of(2 ^ [3 ^ []], 3 ^ [])],extension(5,bind([[_4132, _4185], [2 ^ [3 ^ []], 3 ^ []]]))).
% 0.22/1.36 cnf('1.1.1.1.1',plain,[-(basis_of(2 ^ [3 ^ []], 3 ^ [])), a_vector_space(3 ^ [])],extension(7,bind([[_5231], [3 ^ []]]))).
% 0.22/1.36 cnf('1.1.1.1.1.1',plain,[-(a_vector_space(3 ^ [])), a_vector_subspace_of(3 ^ [], 4 ^ [])],extension(8,bind([[_5514, _5558], [3 ^ [], 4 ^ []]]))).
% 0.22/1.36 cnf('1.1.1.1.1.1.1',plain,[-(a_vector_subspace_of(3 ^ [], 4 ^ []))],extension(1)).
% 0.22/1.36 cnf('1.1.1.2',plain,[-(a_vector_subspace_of(3 ^ [], 4 ^ []))],extension(1)).
% 0.22/1.36 cnf('1.1.1.3',plain,[-(lin_ind_subset(2 ^ [3 ^ []], 3 ^ [])), basis_of(2 ^ [3 ^ []], 3 ^ [])],extension(4,bind([[_4132, _4185], [2 ^ [3 ^ []], 3 ^ []]]))).
% 0.22/1.36 cnf('1.1.1.3.1',plain,[-(basis_of(2 ^ [3 ^ []], 3 ^ [])), a_vector_space(3 ^ [])],extension(7,bind([[_5231], [3 ^ []]]))).
% 0.22/1.36 cnf('1.1.1.3.1.1',plain,[-(a_vector_space(3 ^ [])), a_vector_subspace_of(3 ^ [], 4 ^ [])],extension(8,bind([[_5514, _5558], [3 ^ [], 4 ^ []]]))).
% 0.22/1.36 cnf('1.1.1.3.1.1.1',plain,[-(a_vector_subspace_of(3 ^ [], 4 ^ []))],extension(1)).
% 0.22/1.36 cnf('1.1.2',plain,[-(basis_of(union(2 ^ [4 ^ []], 1 ^ [4 ^ [], union(2 ^ [4 ^ []], 1 ^ [4 ^ [], 2 ^ [4 ^ []], 2 ^ [4 ^ []]]), 2 ^ [4 ^ []]]), 4 ^ [])), lin_ind_subset(2 ^ [4 ^ []], 4 ^ []), basis_of(union(2 ^ [4 ^ []], 1 ^ [4 ^ [], 2 ^ [4 ^ []], 2 ^ [4 ^ []]]), 4 ^ [])],extension(6,bind([[_4548, _4618, _4687], [2 ^ [4 ^ []], union(2 ^ [4 ^ []], 1 ^ [4 ^ [], 2 ^ [4 ^ []], 2 ^ [4 ^ []]]), 4 ^ []]]))).
% 0.22/1.36 cnf('1.1.2.1',plain,[-(lin_ind_subset(2 ^ [4 ^ []], 4 ^ [])), basis_of(2 ^ [4 ^ []], 4 ^ [])],extension(4,bind([[_4132, _4185], [2 ^ [4 ^ []], 4 ^ []]]))).
% 0.22/1.36 cnf('1.1.2.1.1',plain,[-(basis_of(2 ^ [4 ^ []], 4 ^ [])), a_vector_space(4 ^ [])],extension(7,bind([[_5231], [4 ^ []]]))).
% 0.22/1.36 cnf('1.1.2.1.1.1',plain,[-(a_vector_space(4 ^ []))],extension(2)).
% 0.22/1.36 cnf('1.1.2.2',plain,[-(basis_of(union(2 ^ [4 ^ []], 1 ^ [4 ^ [], 2 ^ [4 ^ []], 2 ^ [4 ^ []]]), 4 ^ [])), lin_ind_subset(2 ^ [4 ^ []], 4 ^ []), basis_of(2 ^ [4 ^ []], 4 ^ [])],extension(6,bind([[_4548, _4618, _4687], [2 ^ [4 ^ []], 2 ^ [4 ^ []], 4 ^ []]]))).
% 0.22/1.36 cnf('1.1.2.2.1',plain,[-(lin_ind_subset(2 ^ [4 ^ []], 4 ^ [])), basis_of(2 ^ [4 ^ []], 4 ^ [])],extension(4,bind([[_4132, _4185], [2 ^ [4 ^ []], 4 ^ []]]))).
% 0.22/1.36 cnf('1.1.2.2.1.1',plain,[-(basis_of(2 ^ [4 ^ []], 4 ^ [])), a_vector_space(4 ^ [])],extension(7,bind([[_5231], [4 ^ []]]))).
% 0.22/1.36 cnf('1.1.2.2.1.1.1',plain,[-(a_vector_space(4 ^ []))],extension(2)).
% 0.22/1.36 cnf('1.1.2.2.2',plain,[-(basis_of(2 ^ [4 ^ []], 4 ^ [])), a_vector_space(4 ^ [])],extension(7,bind([[_5231], [4 ^ []]]))).
% 0.22/1.36 cnf('1.1.2.2.2.1',plain,[-(a_vector_space(4 ^ []))],extension(2)).
% 0.22/1.36 cnf('1.2',plain,[-(basis_of(2 ^ [3 ^ []], 3 ^ [])), a_vector_space(3 ^ [])],extension(7,bind([[_5231], [3 ^ []]]))).
% 0.22/1.36 cnf('1.2.1',plain,[-(a_vector_space(3 ^ [])), a_vector_subspace_of(3 ^ [], 4 ^ [])],extension(8,bind([[_5514, _5558], [3 ^ [], 4 ^ []]]))).
% 0.22/1.36 cnf('1.2.1.1',plain,[-(a_vector_subspace_of(3 ^ [], 4 ^ []))],extension(1)).
% 0.22/1.36 %-----------------------------------------------------
% 0.22/1.36
% 0.22/1.36 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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